The Stokes number, St, used in particle-dynamics studies, is a dimensionless combination of five variables: acceleration of gravity g, viscosity μ, density p, particle velocity U, and particle diameter D. (a) If St is proportional to μ and inversely proportional to g, find its form. (b) Show that St is actually the quotient of two more traditional dimensionless groups.
Q: steps on how to reach answer of 0.188 kg/s
A:
Q: The prismatic beam with the asymmetric section shown below is subjected to a linearlyvarying…
A:
Q: 7: Determine the force in members FI, GI, & GJ using method of sections. State whether each…
A:
Q: The refrigerant R-134a expands adiabatically and reversibly in a closed piston-cylinder system from…
A: The process is described as adiabatic and reversible. In an adiabatic process, there is no heat…
Q: Windmill diameter 4 m 2 ☐ Altitude □ Wind speed Capture area diameter Slipstream diameter Find:…
A: To find the thrust on the windmill, we'll apply the principle of momentum conservation. This method…
Q: (2) Calculate by hand three iterations of the Golden-Section Search algorithm to approximate the…
A:
Q: The circuit in the given figure is to control the speed of a motor such that the motor draws…
A: Step 1:Step 2:Step 3:
Q: Use matlab to solve the question
A: Calculate the Final Position of Point P in Frame A:Start by computing the translation and rotation…
Q: Draw the free body diagram of the beam, which is pin connected at A and rocker supported at B 500N…
A:
Q: Q4: A steel cantilever, the factor of safety is 2, the sensitivity factor 0.9, surface finish factor…
A: I hope this is helpful.
Q: Quick handwritten+FBD Draw a complete free-body diagram for the following problem.. 6-35* A beam is…
A:
Q: Can you help me with the MATALB code? From the initial time of the orbital state vector of the ISS…
A: we need to follow a structured approach. Below, I'll outline the key steps and provide a simplified…
Q: Sphere, mass m Find the equivalent stiffness and mass of the system shown in the figure, then find…
A: The equivalent stiffness of the system can be determined by considering the stiffness of the…
Q: please answer this question. many thanks !
A:
Q: 5: The portion of truss shown represents the upper part of a powertransmission line tower. For the…
A:
Q: Home Work عماد داود عبود (32) عماد داود عبر Q1-Ethane (C2H6) is burned with air in a mass ratio of…
A: a) Percent Excess Air:1. Determine the stoichiometric air-fuel ratio:The balanced combustion…
Q: x Q3. Determine the components of reaction at the ball-and-socket joint A and the tension in the…
A: Step 1:Step 2: Step 3: Step 4:
Q: A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives to power from a…
A:
Q: The cross-section of the robotic arm for the space station is a symmetric six-cellthin walled beam…
A:
Q: A spur gear reducer has a 20-tooth pinion driven by a 1200 rpm electric motor and a 38-tooth gear…
A: Step 1: Step 2: Step 3: Step 4:
Q: Please don't use AI since it is wrong.
A: Step 1 : Given Data:1. Net Requirements (Demand per week):Week 1: 335Week 2: 200Week 3: 140Week 4:…
Q: a mass of 3.7 kg of methane at 1508 kPa and 161 °C is contained in a gas-tight, frictionless…
A: Given:Initial mass of methane, m = 3.7 kgInitial pressure, P1 = 1508 kPa = 1508 × 10³ PaFinal…
Q: pls give full written solutions with any figures needed
A: Step 1: Given DataLattice parameters:a=0.400nmb=0.399nmc=0.300nmAngles:α=β=γ=90∘ (indicating an…
Q: A round steel shaft of diameter 0.1 m is subjected to an axial tensile load of 400 kN with a…
A:
Q: Q11: An engine working on the constant volume cycle has a compression ratio of (8 to 1). The…
A:
Q: Solve the following without the use of AI. Show all steps. Thank You!
A: I hope this is helpful.
Q: Q3 Apetrol engine uses fuel of calorific value 44000 ki/hr and has specific gravity of 0.74.the…
A:
Q: In Problems 29–36 solve the given initial-value problem please solve problem 29 , 31,33 and 35…
A:
Q: See 2 images
A: PROBLEM 18.6Step 1: Calculating Divided DifferencesZero-order differences (the function…
Q: Note: Give a clear, step-by-step handwritten calculation (without any explanations), completed…
A:
Q: a 02 02 R₁ ground d R3 b For the 3Bar Inverted Crank Slider shown, 1. Starting with the position…
A:
Q: Question 2: A reducing elbow is used to deflect water flow at a rate of 30 kg/s in a horizontal pipe…
A: Step 1:Given:- Mass flow rate (m˙)=30kg/s- Inlet cross-sectional area (A₁)=150cm²=0.015m²- Exit…
Q: Question 2 The 24-N force F is applied to the handle of the directional control valve as shown.…
A: Step 1:
Q: = 1.2 ft, b = 2 ft, c = 1 ft, and wo In the mechanism shown, a angular velocities of links AB (WAB =…
A:
Q: 19.)
A: For any doubt let me know in comment section i will clear your doubts
Q: 3. Steam enters a diffuser operating at steady state with a pressure of 3 bar, a temperature of 200…
A:
Q: pls provide full calculations
A: Given Data: Lattice parameters: a = 0.400 nm, b = 0.399 nm, c = 0.300 nmAngles: α = β = γ =90°1.…
Q: A spherical vessel, 1.2 m diameter is to be used for the storage of liquid nitrogen at 77K in an…
A:
Q: In class I mentioned that an FCC metal should be strongest in uniaxial tension when pulledalong a…
A: Step 1:The Schmid factors for each of the specified tension directions in an FCC metal, assuming…
Q: Show your work at each step. Answers without details will not be accepted. ₤3 R₂ a 02 R1 02 d ground…
A:
Q: vibrations show all steps and solutions
A:
Q: What is the reaction force at A? (answer in kilo-Newtons, 3 sig.fig.)
A: Consider the rotational equilibrium of the rod AE about point D. Assume counterclockwise as…
Q: show full calculation with free body digrams and use Macaulay's notation.
A:
Q: Q5:The gear forces shown act in planes parallel to the yz plane. The force on gear A is 300 lbf.…
A: I hope this is helpful.
Q: Only should experienced tutor solve
A:
Q: 3: Find the force in members BC, DI, and HI using method of joints. State whether each member is in…
A:
Q: Determine the moment of the forces about point S for the beam shown.
A:
Q: please help me solve this problem show step by step
A: Step 1:Series Solution for the Temperature: The temperature at any point on the plate can be…
Q: In an axial compressor, location 1 is upstream of the rotor blade andc1 = magnitude of velocity…
A: Final
Q: 21/Prove Cr = ( Tmax) Tmin 2(8-1) 22/ derivation of equation Wnet = ? Cv [T3-T₂] - Cv [T₁ - T₁ ] ?
A:
Step by step
Solved in 2 steps with 2 images
- The Stokes number, St, used in particle dynamics studies,is a dimensionless combination of five variables: accelerationof gravity g , viscosity μ , density ρ , particle velocity U ,and particle diameter D . ( a ) If St is proportional to μand inversely proportional to g , find its form . ( b ) Showthat St is actually the quotient of two more traditionaldimensionless groups.The spin rate of a tennis ball determines the aerodynamic forces acting on it. In turn, the spin rate is a§ectedby the aerodynamic torque. If the torque depends on áight speed V , density , viscosity , ball diameter D,angular velocity !, and the fuzz height, hf , Önd the important dimensionless variables for this case. Use V ,, and D as your scaling (repeating) variables.When a steady uniform stream flows over a circular cylinder, vortices are shed at a periodic rate. These are referred to as Kármán vortices. The frequency of vortex shedding få is defined by the free-stream speed V, fluid density p, fluid viscosity u, and cylinder diameter D. Use the Buckingham Pi method to show a dimensionless relationship for Kármán vortex shedding frequency is St = f (Re). Show all your work. V D
- During World War II, Sir Geoffrey Taylor, a British fluid dynamicist, used dimensional analysis to estimate theenergy released by an atomic bomb explosion. He assumed that the energy released E, was a function of blastwave radius R, air density ρ, and time t. Arrange these variables into single dimensionless group, which we mayterm the blast wave number.The velocity V of propagation of ripples on the surface of a shallow liquid depends on the gravitational acceleration g and the liquid depth h. If Buckingham's Theorem is used to identify the salient dimensionless group(s), how many dimensionless group(s) will be obtained? Number of dimensionless group(s) = 1. {1} (Enter your answer as a number.)Evaluate the use of dimensionless analysis using the Buckingham Pi Theorem for a given fluid flow system (D4) , where resistance tomotion ‘R’ for a sphere of diameter ‘D’ moving at constant velocity on the surface of a liquid is due to the density ‘ρ’ and the surfacewaves produced by the acceleration of gravity ‘g’. The dimensionless quantity linking these quantities is Ne= Function (Fr). To do thisyou must apply dimensional analysis to fluid flow system given in Figure 1 (P11). PICTURE IS ALSO ATTACHED
- The wall shear stress Twin a boundary layer is assumed to be a function of stream velocity U, boundary layer thickness , local turbulence velocity u', density p, and local pressure gradient dp/dx. Using (p, U, and ) as repeating variables, rewrite this relationship as a dimensionless function.The power P generated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V, the rotation rate 0, and the number of blades n. (a) Write this relationship in dimensionless form. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 r/min. (b) What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 12 m/s at 2000 m standard altitude? (c) What is the appropriate rotation rate of the prototype?1. The thrust of a marine propeller Fr depends on water density p, propeller diameter D, speed of advance through the water V, acceleration due to gravity g, the angular speed of the propeller w, the water pressure p, and the water viscosity μ. You want to find a set of dimensionless variables on which the thrust coefficient depends. In other words CT = FT · = ƒen(#1, #2, ...) pV2D2 (a) What is k? Explain. (b) Find the 's on the right-hand-side of equation 1 if one of them HAS to be a Froude number gD/V², (1)
- I want handwritten don't copy from chegg same to same change it even if u copy and handwritten only: The discharge pressure (P) of a gear pump (Fig. 3) is a function of flow rate (Q), gear diameter (D), fluid viscosity (µ) and gear angular speed (w). P = f (Q, D, H, 0). Use the pi theorem to rewrite this function in terms of dimensionless parameters. Suction Discharge Fig. 3: Gear pump P, Q3- Consider laminar flow over a flat plate. The boundary layer thickness & grows with distance x down the plate and is also a function of free-stream velocity U, fluid viscosity u, and fluid density p. Find the dimensionless parameters for this problem, being sure to rearrange if necessary to agree with the standard dimensionless groups in fluid mechanics.